English-Swedish translations for zero divisor

• nolldelare
  Ett integritetsområde är en kommutativ ring (med etta) som saknar nolldelare.
  En kropp saknar nolldelare (eftersom varje nollskilt element har en multiplikativ invers).

Definition of zero divisor

• An element ''a'of a ring ''R'for which there exists some nonzero element ''x'∈ ''R'such that either ''ax'= 0 or ''xa'= 0
• A nonzero element ''a'of a ring ''R'for which there exists some nonzero element ''x'∈ ''R'such that either ''ax'= 0 or ''xa'= 0

Examples

• An idempotent element e\ne 1 of a ring is always a (two-sided) zero divisor, since e(1-e)=0=(1-e)e

Related words

• left zero divisor
• right zero divisor
• zero-dimensional